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He length of the hypotenuse of a right triangle is 24 inches. if the length of one leg is 8 inches, what is the approximate length of the other leg? 16.0 inches 18.4 inches 22.6 inches 25.3 inches

Respuesta :

Answer:

22.6

Step-by-step explanation:

a^2 + b^2 = c^2  We know one of the legs and the hypotenuse.  The hypotenuse must be c.  The leg that we do know can be a or b.  It is our choice.  I am going to let it be a

8^2 + b^2 = 24^2  Plug in the numbers that I know

64 + b^2 = 576   Square the numbers that I know

b^2 = 512   Subtract 64 from both sides

b = 22.6  Put this in your calculator to find the square root and round.

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